Group Theory: Characters and Representations

Related lectures (30)

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Covers the tensor product of representations, combining group representations to form new ones.

Covers the definition of group representation and examples of equivalent representations.

Covers Burnside's Lemma, Schur Lemmas, and their proofs in group theory and quantum mechanics.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Explores the Monster group, a sporadic simple group with a unique representation theory.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Covers the tensor product of representations, symmetries of a triangle, irreducible representations, and practical applications in physics.

Explains the tensor product of representations in quantum physics and the properties of defined actions.

Explores the Lie theorem and irreducible representations in group theory.

Explores Schur Lemmas, group representations, and stability properties in group theory.